Information on Result #702289

Linear OA(2132, 535, F2, 29) (dual of [535, 403, 30]-code), using construction XX applied to C1 = C([509,24]), C2 = C([1,26]), C3 = C1 + C2 = C([1,24]), and C∩ = C1 ∩ C2 = C([509,26]) based on
  1. linear OA(2118, 511, F2, 27) (dual of [511, 393, 28]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,24}, and designed minimum distance d ≥ |I|+1 = 28 [i]
  2. linear OA(2117, 511, F2, 26) (dual of [511, 394, 27]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. linear OA(2127, 511, F2, 29) (dual of [511, 384, 30]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−2,−1,…,26}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  4. linear OA(2108, 511, F2, 24) (dual of [511, 403, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  5. linear OA(24, 14, F2, 2) (dual of [14, 10, 3]-code), using
  6. linear OA(21, 10, F2, 1) (dual of [10, 9, 2]-code), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2131, 534, F2, 28) (dual of [534, 403, 29]-code) [i]Truncation
2Linear OOA(2132, 107, F2, 5, 29) (dual of [(107, 5), 403, 30]-NRT-code) [i]OOA Folding